Atkin-Lehner |
5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84835c |
Isogeny class |
Conductor |
84835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17820428109845275 = -1 · 52 · 199 · 472 |
Discriminant |
Eigenvalues |
1 0 5- 4 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3001,-6423132] |
[a1,a2,a3,a4,a6] |
Generators |
[50515599427931732:1469941298208903564:57293709798151] |
Generators of the group modulo torsion |
j |
9261/55225 |
j-invariant |
L |
9.7855016137352 |
L(r)(E,1)/r! |
Ω |
0.17971944942085 |
Real period |
R |
27.22438124344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84835d2 |
Quadratic twists by: -19 |